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Finding the Third Proportional to 96,638.06 and 195,994.69

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Solution

The third proportional to 96,638.06 and 195,994.69 is: 397,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.06 : 195,994.69 = 195,994.69 : x
  2. Step 2: Convert to fraction form
    96,638.06/195,994.69 = 195,994.69/x
  3. Step 3: Cross multiply
    96,638.06x = 195,994.69 × 195,994.69
  4. Step 4: Simplify right side
    96,638.06x = 38,413,917,528.22
  5. Step 5: Solve for x
    x = 38,413,917,528.22/96,638.06
  6. Step 6: Final answer
    x = 397,502.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.